Continuous-time game dynamics are typically first order systems where payoffs determine the growth rate of the playersʼ strategy shares. In this paper, we investigate what happens beyond first order by viewing payoffs as higher order forces of change, specifying e.g. the acceleration of the...

We choose between alternatives without being fully informed about the rewards from different courses of action. In making our decisions, we use our own past experience and the experience of others. So the ways in which we interact - our social network - can influence our choices. These choices...

This paper studies the evolution of peoplesʼ models of how other people think – their theories of mind. This is formalized within the level-k model, which postulates a hierarchy of types, such that type k plays a k times iterated best response to the uniform distribution. It is found that,...

In games with strategic substitutes (GSS), convergence of the best-response dynamic starting from the inf (or sup) of the strategy space is equivalent to global stability (convergence of every adaptive dynamic to the same pure strategy Nash equilibrium). Consequently, in GSS, global stability...

In this article, we investigate the possibility of sunspot equilibria to emerge from a process of learning and adaptation on agents’ beliefs. We consider both finite state Markov sunspots and sunspots in autoregressive form, and derive conditions for the existence of an heterogeneous...

This chapter provides a survey of the recent work on learning in the context of macroeconomics. Learning has several roles. First, it provides a boundedly rational model of how rational expectations can be achieved. Secondly, learning acts as a selection device in models with multiple REE...

Empirical evidence suggests that goods are highly heterogeneous with respect to the degree of price rigidity. We develop a two-sector dynamic general equilibrium model to study the equilibrium determinacy properties of interest rate rules that respond to inflation measures differing in their...

We derive optimal monetary policy in a sticky price model when private agents follow adaptive learning. We show that this slight departure from rationality has important implications for policy design. The central bank faces a new intertemporal trade-off, not present under rational expectations:...

We analyse the consumption strategy of a dynamically inconsistent individual for goods that provide an immediate benefit and a delayed cost. The agent has incomplete information on the cost inherent to each unit of consumption and partially learns this value anytime he consumes. We show that, by...

This paper considers marriage problems, roommate problems with nonempty core, and college admissions problems with responsive preferences. All stochastically stable matchings are shown to be contained in the set of matchings which are most robust to one-shot deviation.